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Finding the Third Proportional to 38,101 and 81,872

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Solution

The third proportional to 38,101 and 81,872 is: 175,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101 : 81,872 = 81,872 : x
  2. Step 2: Convert to fraction form
    38,101/81,872 = 81,872/x
  3. Step 3: Cross multiply
    38,101x = 81,872 × 81,872
  4. Step 4: Simplify right side
    38,101x = 6,703,024,384
  5. Step 5: Solve for x
    x = 6,703,024,384/38,101
  6. Step 6: Final answer
    x = 175,927.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.